Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System

Lilia Larbi; Nihed Trabelsi

doi:10.11650/tjm/220601

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Home > Journals > Taiwanese J. Math. > Volume 26 > Issue 6 > Article

December, 2022 Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System

Lilia Larbi, Nihed Trabelsi

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Lilia Larbi,¹ Nihed Trabelsi²
¹University of Tunis El Manar, Tunisia
²University of Sfax, Tunisia

Taiwanese J. Math. 26(6): 1163-1201 (December, 2022). DOI: 10.11650/tjm/220601

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Abstract

The existence of singular limit solutions is established for a nonlinear elliptic Kuramoto–Sivashinsky system with exponential nonlinearity and Navier boundary conditions, by means of the nonlinear domain decomposition method.

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Lilia Larbi. Nihed Trabelsi. "Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System." Taiwanese J. Math. 26 (6) 1163 - 1201, December, 2022. https://doi.org/10.11650/tjm/220601

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Received: 23 August 2021; Revised: 25 April 2022; Accepted: 7 June 2022; Published: December, 2022

First available in Project Euclid: 19 June 2022

MathSciNet: MR4515699

zbMATH: 1505.35166

Digital Object Identifier: 10.11650/tjm/220601

Subjects:

Primary: 35B38 , 35J08 , 35J60 , 35J75

Keywords: critical points , Green's function , nonlinear elliptic equations , singular limit solution

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Taiwanese J. Math.

Vol.26 • No. 6 • December, 2022

Mathematical Society of the Republic of China

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Lilia Larbi, Nihed Trabelsi "Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System," Taiwanese Journal of Mathematics, Taiwanese J. Math. 26(6), 1163-1201, (December, 2022)

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